Metric Conversion Worksheet | Download Free PDF | Metre | Quantity - Free Printable

Explanation:
Let’s go through each conversion one by one, using the metric system rules. Remember:

- Length:
- 1 km = 1000 m
- 1 m = 100 cm
- 1 m = 1000 mm
- 1 cm = 10 mm
- 1 dm (decimeter) = 10 cm = 0.1 m
- 1 decimeter (dm) = 10 cm
- 1 meter = 10 dm

- Mass:
- 1 gram (g) = 1000 milligrams (mg)

- Volume:
- 1 liter (L) = 10 deciliters (dL)
- 1 liter = 100 centiliters (cL)
- 1 liter = 1000 milliliters (mL)
- 1 hectoliter (hL) = 100 liters

Also, use the prefix chart:
Kilo (1000), Hecto (100), Deca (10), Base (1), Deci (0.1), Centi (0.01), Milli (0.001)

Now solve each problem:

1. 5 meters = ___ km
1 km = 1000 m → 5 m = 5 / 1000 = 0.005 km

2. 3 grams = ___ milligrams
1 g = 1000 mg → 3 g = 3 × 1000 = 3000 mg

3. 7 meters = ___ cm
1 m = 100 cm → 7 m = 7 × 100 = 700 cm

4. 60 milligrams = ___ km
Wait — milligrams are mass, km is length. That seems wrong! But looking again: the worksheet says “60 milligrams = ___ km” — this is likely a typo in the worksheet. However, since it's given as is, and all other problems are consistent with unit types, let’s double-check:
Actually, re-reading the list: #4 is *“60 milligrams = _____ km”* — that’s impossible to convert directly (mass ↔ length). But maybe it's a mistake and should be millimeters? Because later #8 is decimeters to mm, and #5 is meters to mm — very likely a typo: 60 millimeters = ___ km. Let’s verify context:
The graphic organizer shows length prefixes (km, m, cm, mm), and most problems are length/mass/volume conversions. #4 is the only mismatched one. In real classroom worksheets, this is commonly a typo: “milligrams” should be “millimeters”. We’ll assume it's 60 millimeters = ___ km.
So:
60 mm = 60 / 1000 = 0.06 m
0.06 m = 0.06 / 1000 = 0.00006 km
Or directly: 1 km = 1,000,000 mm → 60 mm = 60 / 1,000,000 = 0.00006 km

But wait — let’s hold on. Maybe the worksheet really meant 60 milligrams = ___ grams, but it says km. Since the user uploaded the exact image and we must answer as given, and all other items are valid, I suspect it's a typo and should be millimeters. I will proceed with 60 millimeters = 0.00006 km, as that fits the pattern.

However, let me check the rest first — maybe the answer key expects something else. Alternatively, perhaps the student is supposed to recognize it’s invalid? But that’s unlikely for a basic worksheet.

Given standard curriculum practice, this is almost certainly a typo for millimeters. We'll go with that.

5. 2.5 meters = ___ mm
1 m = 1000 mm → 2.5 × 1000 = 2500 mm

6. 4.5 centimeters = ___ km
Convert cm → m → km:
4.5 cm = 4.5 / 100 = 0.045 m
0.045 m = 0.045 / 1000 = 0.000045 km

7. 77 meters = ___ dm
1 m = 10 dm → 77 × 10 = 770 dm

8. 37 decimeters = ___ mm
1 dm = 10 cm = 100 mm → 37 × 100 = 3700 mm

9. 0.002 centimeters = ___ mm
1 cm = 10 mm → 0.002 × 10 = 0.02 mm

10. 44 millimeters = ___ m
44 / 1000 = 0.044 m

11. 25 kilometers = ___ m
25 × 1000 = 25,000 m

12. 880 meters = ___ cm
880 × 100 = 88,000 cm

13. 9.5 kiloliters = ___ deciliters
1 kL = 1000 L
1 L = 10 dL
So 1 kL = 1000 × 10 = 10,000 dL
9.5 kL = 9.5 × 10,000 = 95,000 dL

14. 66 decimeters = ___ decameters
Note: decameter (dam) = 10 meters
1 dm = 0.1 m
So 66 dm = 66 × 0.1 = 6.6 m
6.6 m = 6.6 / 10 = 0.66 dam
(Since 1 dam = 10 m, and 1 dm = 0.01 dam → 66 × 0.01 = 0.66 dam)

15. 5 liters = ___ hectoliters
1 hL = 100 L → 5 L = 5 / 100 = 0.05 hL

Now double-check each:

1. 5 m → km: 5/1000 = 0.005 ✔
2. 3 g → mg: 3×1000 = 3000 ✔
3. 7 m → cm: 700 ✔
4. 60 mm → km: 60 / 1,000,000 = 0.00006 ✔ *(assuming mm, not mg)*
5. 2.5 m → mm: 2500 ✔
6. 4.5 cm → km: 4.5 / 100,000 = 0.000045 ✔ (since 1 km = 100,000 cm)
7. 77 m → dm: 770 ✔
8. 37 dm → mm: 37×100 = 3700 ✔
9. 0.002 cm → mm: 0.02 ✔
10. 44 mm → m: 0.044 ✔
11. 25 km → m: 25,000 ✔
12. 880 m → cm: 88,000 ✔
13. 9.5 kL → dL: 9.5 × 10,000 = 95,000 ✔
14. 66 dm → dam: 66 × 0.01 = 0.66 ✔
15. 5 L → hL: 0.05 ✔

All correct.

Final Answer:
0.005, 3000, 700, 0.00006, 2500, 0.000045, 770, 3700, 0.02, 0.044, 25000, 88000, 95000, 0.66, 0.05